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Finding the Third Proportional to 165,740 and 253,426

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Solution

The third proportional to 165,740 and 253,426 is: 387,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740 : 253,426 = 253,426 : x
  2. Step 2: Convert to fraction form
    165,740/253,426 = 253,426/x
  3. Step 3: Cross multiply
    165,740x = 253,426 × 253,426
  4. Step 4: Simplify right side
    165,740x = 64,224,737,476
  5. Step 5: Solve for x
    x = 64,224,737,476/165,740
  6. Step 6: Final answer
    x = 387,502.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.